Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58401

If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
02 Oct 2017, 23:57
Question Stats:
53% (01:49) correct 47% (01:56) wrong based on 79 sessions
HideShow timer Statistics
If a = c*10^b and a and b are integers, what is the value of b? (1) c has nonzero digits in only the tenths, hundredths, and thousandths places. (2) 1 < b < 4
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Retired Moderator
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82

If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
Updated on: 15 Oct 2017, 02:00
Bunuel wrote: If a = c*10^b and a and b are integers, what is the value of b?
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places. (2) 1 < b < 4 Statement 1: \(c=0.xyz\), where \(x,y,z\) are digits in tenths, hundredths, and thousandths places but nothing mentioned about \(a\) or \(b\). Hence \(insufficient\) Statement 2: \(b\) can be \(2\) or \(3\). Hence insufficientCombining 1 & 2. \(a = c*10^b\), or \(a= 0.xyz*10^b\) we know that \(a\) is an integer, hence \(b=3\) because if \(b=2\) then \(a=xy.z\) which is not an integer. Hence sufficientOption C
Originally posted by niks18 on 03 Oct 2017, 02:20.
Last edited by niks18 on 15 Oct 2017, 02:00, edited 2 times in total.



Current Student
Joined: 02 Jul 2017
Posts: 290
Concentration: Entrepreneurship, Technology

If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
03 Oct 2017, 02:39
If \(a = c*10^b\)and a and b are integers, what is the value of b?
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places. => This tells us that c is a 3 digit decimal number => c = 0.pqr ( p,q,and r are single digit integers)
to make 'a' as an integer 'c' need to be multiplied by 1000 => minimum value of a => \(a = c*10^3\) Here as we don't know value of a => b can take any value greater or equal to 3 => \(b\geq{3}\) Insufficient
(2) 1 < b < 4 as b is an integer => b = 2 or 3 Insufficient
1+2
=>by statement 1=> \(b\geq{3}\) by statement 2 => b = 2 or 3 => b=3
Answer: C



Manager
Joined: 14 Sep 2016
Posts: 126

Re: If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
03 Oct 2017, 07:01
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
How come you can deduce that "C" is a decimal digit ?



Retired Moderator
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82

Re: If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
03 Oct 2017, 07:12
kunalsinghNS wrote: (1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
How come you can deduce that "C" is a decimal digit ? Hi kunalsinghNSit is mentioned in the statement that ONLY tenths, hundredths, and thousandths places have non zero digits So \(c=0.234\) or \(c=10.897\). In either case if you multiply \(c\) by \(10^3\), then it will become an integer



Current Student
Joined: 02 Jul 2017
Posts: 290
Concentration: Entrepreneurship, Technology

If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
03 Oct 2017, 08:54
kunalsinghNS wrote: (1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
How come you can deduce that "C" is a decimal digit ? Please refer attached figure and below mentioned line, it might help. c has nonzero digits in only the tenths, hundredths, and thousandths places.
Attachments
Number.jpg [ 16.72 KiB  Viewed 1057 times ]



Manager
Joined: 14 Sep 2016
Posts: 126

Re: If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
03 Oct 2017, 19:53
Thank you for the explanation niks18 and Nikkb



Senior Manager
Joined: 13 Feb 2018
Posts: 450

Re: If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
29 Mar 2018, 02:11
It will help if you catch the difference tenstenth hundreds  hundredth thousands  thousandth



Intern
Joined: 16 Apr 2019
Posts: 22
Location: India
GPA: 3.9
WE: Web Development (Computer Software)

Re: If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
Show Tags
11 Jul 2019, 00:31
If a = c*10^b and a and b are integers, what is the value of b?
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places. (2) 1 < b < 4
In statement 1 value of c can be variable of 10 but no such description about the b while in statement 2 value of b is between 1 to 4 so on combining both statements we get value of a




Re: If a = c*10^b and a and b are integers, what is the value of b?
[#permalink]
11 Jul 2019, 00:31






